Question

Use the Pythagorean Theorem to find which one of the

following is the hypotenuse c of a right triangle with side
lengths of a = 9 cm and b = 12 cm.
a 12 cm
b 15 cm
C 14 cm
d 17 cm

Answer 1

Hello There!!

Given:-

Altitude (AB) = 9cm

Base (BC) = 12cm

To Find

Hypotenuse (AC) = ?

`\fbox \text{According To Pythagoras Theorem = }`

`\text{(Hypotenuse)² = (Altitude)² + (Base)²}`

Inserting The Values

`\text{(Hypotenuse)²} =( {9})^(2) + (12) {}^(2) \\ \\ \implies \text{(AC)} {}^(2) = 81 + 144 \\ \\ \implies \text{(AC}) {}^(2) = 225 \\ \\ \implies \text{AC} = √(225) \\ \\ \implies \text{AC} = 15`

`\therefore \text{Hypotenuse \: (AC)} = 15 \text{cm}`

Option B= 15cm is the correct answer

Hope This Helps